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Finding the Fourth Proportional to 4,566.42, 6,304.81 and 3,502.34

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Solution

The fourth proportional to 4,566.42, 6,304.81 and 3,502.34 is: 4,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.42 : 6,304.81 = 3,502.34 : x
  2. Step 2: Convert to fraction form
    4,566.42/6,304.81 = 3,502.34/x
  3. Step 3: Cross multiply
    4,566.42x = 6,304.81 × 3,502.34
  4. Step 4: Simplify right side
    4,566.42x = 22,081,588.26
  5. Step 5: Solve for x
    x = 22,081,588.26/4,566.42
  6. Step 6: Final answer
    x = 4,835.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.